451013121312 has 384 divisors, whose sum is σ = 1367652625920. Its totient is φ = 129047592960.

The previous prime is 451013121287. The next prime is 451013121337. The reversal of 451013121312 is 213121310154.

It is an interprime number because it is at equal distance from previous prime (451013121287) and next prime (451013121337).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481336908 + ... + 481337844.

It is an arithmetic number, because the mean of its divisors is an integer number (3561595380).

Almost surely, 2^451013121312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451013121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683826312960).

451013121312 is an abundant number, since it is smaller than the sum of its proper divisors (916639504608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

451013121312 is a wasteful number, since it uses less digits than its factorization.

451013121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 451013121312 its reverse (213121310154), we get a palindrome (664134431466).

The spelling of 451013121312 in words is "four hundred fifty-one billion, thirteen million, one hundred twenty-one thousand, three hundred twelve".